Question

d.
a triangle with angles ( x^circ ), ( 42^circ ), and ( (x - 38)^circ )

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(x + 42 + (x - 38) = 180\).

Step2: Simplify the equation

Combine like terms: \(x + x + 42 - 38 = 180\) → \(2x + 4 = 180\).

Step3: Solve for x

Subtract 4: \(2x = 180 - 4 = 176\). Divide by 2: \(x = \frac{176}{2} = 88\).

Answer:

\(x = 88\)